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Finding the Third Proportional to 498,636 and 1,067,328

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Solution

The third proportional to 498,636 and 1,067,328 is: 2,284,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636 : 1,067,328 = 1,067,328 : x
  2. Step 2: Convert to fraction form
    498,636/1,067,328 = 1,067,328/x
  3. Step 3: Cross multiply
    498,636x = 1,067,328 × 1,067,328
  4. Step 4: Simplify right side
    498,636x = 1,139,189,059,584
  5. Step 5: Solve for x
    x = 1,139,189,059,584/498,636
  6. Step 6: Final answer
    x = 2,284,610.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.